# Worksheet: Solving Proportions

Q1:

Given that , find the value of the missing denominator in the equation .

Q2:

Find the number that should be added to each of the numbers 32, 9, 22, and 4 to make them proportional.

Q3:

Find the number that should be added to each of the numbers 36, 13, 14, and 2 to make them proportional.

Q4:

Find the number that should be added to each of the numbers 39, 37, 17, and 16 to make them proportional.

Q5:

Two values are in the ratio . If I add a certain number to each value, the ratio changes to . What is that number?

Q6:

Find the third proportional to 3, 33, and 11.

Q7:

Determine the fourth proportional of the numbers 8, 36, and 46.

Q8:

Given that 19, 8, , are proportional, what is the value of ?

• A19
• B1.68
• C32
• D2

Q9:

Find an expression for the fourth proportional of the quantities , , and .

• A
• B
• C
• D
• E

Q10:

What is the value of if 3, , 4, and 44 are in proportion?

• A39
• B33
• C126
• D27

Q11:

What is the value of if 4, , 6, and 12 are in proportion?

• A14
• B8
• C42
• D2

Q12:

If , , , and are proportional quantities, then is called .

• Athe first proportional
• Bthe second proportional
• Cthe fourth proportional
• Dthe third proportional

Q13:

Find the value of that makes the numbers , , 4.8, and 3.8 proportional.

Q14:

Complete the following quantities with the third proportional: , , , .

• A
• B
• C
• D

Q15:

Find an expression for the fourth proportional of the quantities , , and .

• A
• B
• C
• D
• E